Fulcrum Position

The Fulcrum Position calculator computes the distance (x) from the object to the fulcrum based on the length of the beam (L), the mass of the object (W) and the downward force (F).

INSTRUCTIONS:  Choose your preferred units and enter the following:

• (F)  Downward force (weight) opposite the fulcrum from the object.
• (W) Mass (weight) of the object being lifted.
• (L) Total length of the beam (L = x+y in diagram)

Fulcrum Position (x): The calculator returns the length in meters.  However this can be automatically converted to other length units via the pull-down menu.

The Math/Science

A lever is a simple machine where the ratio of the product of the lengths and forces on opposite sides of a fulcrum are equal as is represented in the following equation:

W •  x = F •  y

where:

• W = Weight or Mass lifted
• x = length of lever on the weight side of the fulcrum
• F = downward force
• y = length of lever on the downward force side of the fulcrum

Mechanical Leverage Functions

• (y) Beam Length: computes the required length of a beam above the fulcrum for a lever to raise a weight (W) based on the downward weight applied (F) and the length below the fulcrum (x).
• (W) Lift Weight: computes the weight that can be lifted with a lever based on the length of the beam (y) above the fulcrum, the length (x) below the fulcrum and downward weight applied (F).
• (x) Fulcrum Position: computes the length from the object to the fulcrum needed in a lever to lift a weight (W) with a downward force (F) with a beam of length (L), where L = x + y (see below).
• (F) Downward Force or Weight: computes the mass needed to create the downward force (F) to raise the object with a lever.
• L = x+y : computes the sum of two lengths

Simple Machine Calculators

• Lever Beam Length 
• Leverage Lift Weight 
• Fulcrum Position 
• Belt Length 
• Belt Speed
• RPMs to Linear Velocity
• RPMs from linear velocity and diameter 
• 2nd Pulley RPMs
• 2nd Pulley Diameter 
• RPM of 4th pulley on three shafts 
• 2nd Gear RPM 
• Sum of Two Lengths
• Second Gear Torque
• Leadscrew Torque (lift)